Differences in $dE/dX$ for $μ+$ and $μ-$ and its Effect on the Underground Charge Ratio

Details Differences in $dE/dX$ for $μ+$ and $μ-$ and its Effect on the Underground Charge Ratio Differences in $dE/dX$ for $μ+$ and $μ-$ and its Effect on the Underground Charge Ratio

2007-06-04

arxiv.org/abs/0706.0554v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Contribution to the 30th International Cosmic Ray Conference, Merida Mexico, 2007 (v2: appending DOE contract number)

Scientific paper

Theoretical calculations predict a small fractional difference in energy loss for $\mu^+$ and $\mu^-$ of the order of $0.15 %$ at high energies. This is predominantly due to a $z^3$ term in an extended ionization $dE/dX$ relation, in analogy to the Barkas effect at low energies around the Bethe-Bloch maximum. The atmospheric muon energy spectrum is steeply falling off with approximately $E^{-3.7}$ and thus the small difference in $dE/dX$ between $\mu^+$ and $\mu^-$ at high energies results in an amplified charge asymmetry of about $0.6 %$ many thousand meters water equivalent deep underground.

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